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Finding the Fourth Proportional to 52,829.94, 79,226.04 and 24,745.20

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Solution

The fourth proportional to 52,829.94, 79,226.04 and 24,745.20 is: 37,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,829.94 : 79,226.04 = 24,745.20 : x
  2. Step 2: Convert to fraction form
    52,829.94/79,226.04 = 24,745.20/x
  3. Step 3: Cross multiply
    52,829.94x = 79,226.04 × 24,745.20
  4. Step 4: Simplify right side
    52,829.94x = 1,960,464,205.01
  5. Step 5: Solve for x
    x = 1,960,464,205.01/52,829.94
  6. Step 6: Final answer
    x = 37,108.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.